Finding the Third Proportional to 599,018,747,152 and 1,214,705,890,648

Step by Step Solution

1. Step 1: Write the proportion equation
   599,018,747,152 : 1,214,705,890,648 = 1,214,705,890,648 : x
2. Step 2: Convert to fraction form
   599,018,747,152/1,214,705,890,648 = 1,214,705,890,648/x
3. Step 3: Cross multiply
   599,018,747,152x = 1,214,705,890,648 × 1,214,705,890,648
4. Step 4: Simplify right side
   599,018,747,152x = 1,475,510,400,774,950,826,803,200
5. Step 5: Solve for x
   x = 1,475,510,400,774,950,826,803,200/599,018,747,152
6. Step 6: Final answer
   x = 2,463,212,391,582.37